Quadratic dissipative evolution of Gaussian states with drift

The solution of the Cauchy problem for the Gorini–Kossakowski–Sudarshan–Lindblad equation describing the irreversible quantum evolution of an n-particle system with a generator, which is a quadratic function in creation-annihilation operators, is reduced to the calculation of standard algebraic func...

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Veröffentlicht in:Mathematical Notes 2017, Vol.101 (1-2), p.341-351
1. Verfasser: Teretenkov, A. E.
Format: Artikel
Sprache:eng
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Zusammenfassung:The solution of the Cauchy problem for the Gorini–Kossakowski–Sudarshan–Lindblad equation describing the irreversible quantum evolution of an n-particle system with a generator, which is a quadratic function in creation-annihilation operators, is reduced to the calculation of standard algebraic functions of 2 n × 2 n matrices.
ISSN:0001-4346
1067-9073
1573-8876
DOI:10.1134/S0001434617010370